查询词典 associated equation

The associated Euler-Lagrange equation leads to a nonlinear partial differential equation of second order in the wavelet domain.

通过求解该模型的极小化，推导出其相应的Euler-Lagrange方程为小波域中的二阶非线性偏微分方程。

Finally we analyze the results of the linear equation by using the modified equation associated with GRP scheme.

进一步地，我们将用modified方程来分析线性方程的数值实(来源：Aad5dBC论文网www.abclunwen.com)验结果。

In this paper, the particle breakage rule and breakage energy are studied during triaxial shearing, on which the associated equation is established.

论文根据堆石料的三轴试验成果，研究了粗粒土三轴剪切过程中的颗粒破碎规律和破碎耗能，提出了相关计算公式。

It then deduces the associated Euler-Lagrange equation and established the corresponding diffusion equation. Finally, a finite difference inpainting algorithm is proposed.

根据所建立的修补模型，利用变分原理推导出对应的Euler-Lagrange方程，建立了与之对应的扩散方程。

In the second chapter, the concept of an integrated abstract delay equation is introduced, and the equivalence of the well - posedness of an integrated delay equation and an associated integrated Cauchy problem is derived.

在第二章中，引入了积分抽象时滞方程的概念，并且得到积分抽象时滞方程的适定性与相应的积分柯西问题适定性等价。

The Sine-Gordon equation is a nonlinear form associated to the telegraph equation.

Sine-Gordon方程在19世纪时即为人们所了解。

In chapter four,at first,we investigate classification theory of the positive homogeneous p-Laplacian equation ,the main method is Prufer's transformation,and then we discuss the nontrivial solution for associated nonhomogeneous equation by making use of Leray-Schauder degree.

接着研究了非齐次方程的可解性。在第四章中，我们首先是建立了正齐次p-Laplacian 方程的分类理论，主要利用Prufer 变换。再应用Leray-Schauder 度理论证明非齐次方程的可解性。

The bilinear form of BBM equation has known, so we can similiarly get the bilinear form of associated DGH equation, then we can get the bilinear form of DGH equation and 1-soliton by a approciate method.

BBM方程的双线性已知，通过恰当的设法可以类似得到关联DGH方程的双线性形式，即得到了DGH方程的双线性形式，并由此得到了DGH方程的1—孤子解。

Firstly, using strategy of introducing associated auxiliary equation to a givenpartial differential equation without admitting Lagrangian, we make the extendedequations possess a variational principle. Based on this, the concepts of extendedconservation law and extended symmetry to given partial differential equationare put forwarded.

首先，我们给出了引入伴随方程扩充原方程的策略，使给定偏微分方程的扩充方程组具有对应泛函，即称为Lagrange系统的方法，以此为基础提出了作为偏微分方程传统守恒律和对称概念的一种推广—偏微分方程扩充对称和扩充守恒律的概念；其次，先给出以得到的Lagrange系统为基础，利用N？

First, the backward Kolmogorov equation for the conditional reliability function and the Pontryagin equation for mean first-passage time and then- associated boundary and initial conditions are derived based on the stochastic averaging methods for quasi non-integrable, quasi integrable and quasi partially integ...

首先利用拟不可积、拟可积非共振及拟部分可积非共振Hamilton系统的随机平均法分别给出了研究该系统首次穿越问题的提法，包括计算条件可靠性函数的后向Kolmogorov方程及计算平均首次穿越时间的Pontryagin方程及其边值条件。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷